Engineering Statistics Demystified

by Stephens, Larry

• ISBN13: 9780071462723
• ISBN10: 0071462724
• Edition: 1st
• Format: Paperback
• Copyright: 2007-01-03
• Publisher: McGraw-Hill Education

Summary

United States audience includes 120,000-plus engineering students and 60,000-plus science majors who are required to take a calculus-based statistics course Includes examples from MINITAB, EXCEL, STATISTIXS, SAS, SPSS, and MAPLE statistical software programs

Author Biography

Larry Stephens is a professor of mathematics at the University of Nebraska and has also worked for NASA. He is the author of McGraw-Hill's Advanced Statistics Demystified and Schaum's Outline of Beginning Statistics.

Table of Contents

1. Treatment of data 1.1 Pareto Diagrams, Dot Diagrams, Stem-and-Leaf Displays, Histograms 1.2 Descriptive measures 1.3 Quartiles and other Percentiles 1.4 The Calculation of 2. Probability 2.1 Sample Spaces and Events 2.2 Counting 2.3 Probability 2.4 The Axioms of Probability 2.5 Some Elementary Theorems 2.6 Conditional Probability 2.7 Bayes Theorem 2.8 Mathematical Expectation and Decision Making 3. Probability Distributions 3.1 Random Variables 3.2 The Binomial Distribution 3.3 The Hypergeometric Distribution 3.4 The Mean and Variance of a Probability Distribution 3.5 Chebyshevs Theorem 3.6 The Geometric Distribution 3.7 The Multinomial Distribution 3.8 Simulation 4. Probability Densities 4.1 Continuous Random Variables 4.2 The Normal Distribution 4.3 The Normal Approximation to the Binomial Distribution 4.4 Other Probability Densities 4.5 The Uniform Distribution 4.6 The Log-Normal Distribution 4.7 The Gamma Distribution 4.8 The Beta Distribution 4.9 The Weibull Distribution 4.10 Joint Distributions Discrete and Continuous 4.11 Checking Data for Normality 4.12 Transforming Observations to Near Normality 4.13 Simulation 5. Sampling Distribution 5.1 Populations and Samples 5.2 The sampling Distribution of the Mean (s Known) 5.3 The sampling Distribution of the Mean (s Unknown) 5.4 The sampling Distribution of the Proportion 5.5 The sampling Distribution of the Variance 6. Inferences Concerning Means 6.1 Point Estimation 6.2 Interval Estimation 6.3 Tests of Hypotheses 6.4 Null Hypotheses and Tests of Hypotheses 6.5 Hypotheses Concerning One Mean 6.6 The Relation Between Tests and Confidence Intervals 6.7 Operating Characteristic Curves 6.8 Inferences Concerning Two Means 6.9 Randomization and Pairing 7. Inferences Concerning Variances 7.1 The Estimation of Variances 7.2 Hypotheses Concerning One Variance 7.3 Hypotheses Concerning Two Variances 8. Inferences Concerning Proportions 8.1 Estimation of Proportions 8.2 Hypotheses Concerning One Proportion 8.3 Hypotheses Concerning Two Proportions 8.4 Hypotheses Concerning Several Proportions 8.5 The Analysis of r x c Tables 8.6 Goodness of Fit